广义节点有限元法

Generalized-node finite element method based on manifold concept

应用流形方法思想 ,通过引入广义节点的概念 ,对传统有限元方法进行改进 ,建立了可具有任意高阶多项式插值函数的广义节点有限元方法。计算结果表明 ,广义节点有限元方法较之传统有限元方法有较高的精度。

In this paper, the finite element method with generalized nodes is proposed by applying the concept of manifold method to the modification of the conventional FEM. The fundamental theory together with numerical formulations is presented. The characteristic matrix of the generalized 3 node elements is derived for illustration. Numerical computations for two benchmark problems of plane strain elasticity are performed. The comparisons among the results computed by the proposed method and classical FEMS indicate the superiority of this method over conventional methods.